Bundle switching in higher dimensions
Dynamical Systems
2023-06-27 v1
Abstract
Assuming it preserves an orientation of its stable bundle, any three-dimensional partially hyperbolic diffeomorphism can be used to construct a four-dimensional partially hyperbolic diffeomorphism which is dynamically incoherent. Under the same assumption, the time-one map of any three-dimensional Anosov flow can be used to construct a four-dimensional diffeomorphism which is both absolutely partially hyperbolic and dynamically incoherent. Further results hold in higher dimensions under additional assumptions.
Cite
@article{arxiv.2306.14491,
title = {Bundle switching in higher dimensions},
author = {Andy Hammerlindl},
journal= {arXiv preprint arXiv:2306.14491},
year = {2023}
}
Comments
23 pages, 4 figures